I would like you to help me with coordinate geometry. This is a problem from MGMAT. The line is represented by equation y = x is the perpendicular bisector of line segment AB. If AB has the coordinates (-3,3), what are the coordinates of B?
I understand that the perpendicular bisector slope is 1 so the slope os segment AB is −1. so by substituting the values we get b.
line containing segment AB is y=-x
For these two lines
then how to proceed?
how can we determine x=0 and y=0 and find midpoints.
The answer is B(3,-3)
Can you put some light?
Please explain step by step as my maths is pretty weak.
From the equations, you can see that the line y=-x is bisected at the origin by y = x. So the midpoint of segment AB is (0,0).
Midpoint of a line segment having points A(x_1,y_1) and B(x_2,y_2)
We have the values of the point A and the midpoint. So point be can be easily found.
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